A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Thermoelastic dynamic stability of thin-walled beams with graded material properties
Abstract The dynamic stability of functionally graded thin-walled beams allowing for shear deformability is investigated in this article. The analysis is based on a model that has small strains and moderate rotations which are formulated through the adoption of a second-order non-linear displacement field. The beam is subjected to axial external dynamic loading. The model takes into account thermoelastic effects. The heat conduction equation is solved in order to characterize the temperature in the cross-sectional domain. Galerkin's and Bolotin's methods are employed with the scope to discretize the governing equations and to determine the regions of dynamic stability, respectively. Regions of stability are evaluated and expressed in non-dimensional form. The influence of the longitudinal vibration on the unstable regions is investigated. The numerical results show the importance of this effect when the forcing frequency approaches to the natural longitudinal frequency, obtaining substantially wider parametric stability regions. The effects of temperature gradients, shear flexibility and axial inertia, in beams with different cross-sections and different types of graded material are analyzed as well.
Thermoelastic dynamic stability of thin-walled beams with graded material properties
Abstract The dynamic stability of functionally graded thin-walled beams allowing for shear deformability is investigated in this article. The analysis is based on a model that has small strains and moderate rotations which are formulated through the adoption of a second-order non-linear displacement field. The beam is subjected to axial external dynamic loading. The model takes into account thermoelastic effects. The heat conduction equation is solved in order to characterize the temperature in the cross-sectional domain. Galerkin's and Bolotin's methods are employed with the scope to discretize the governing equations and to determine the regions of dynamic stability, respectively. Regions of stability are evaluated and expressed in non-dimensional form. The influence of the longitudinal vibration on the unstable regions is investigated. The numerical results show the importance of this effect when the forcing frequency approaches to the natural longitudinal frequency, obtaining substantially wider parametric stability regions. The effects of temperature gradients, shear flexibility and axial inertia, in beams with different cross-sections and different types of graded material are analyzed as well.
Thermoelastic dynamic stability of thin-walled beams with graded material properties
Piovan, M.T. (author) / Machado, S.P. (author)
Thin-Walled Structures ; 49 ; 437-447
2010-11-02
11 pages
Article (Journal)
Electronic Resource
English
Thermoelastic dynamic stability of thin-walled beams with graded material properties
| Online Contents | 2011
Dynamic Optimization of Functionally Graded Thin-Walled Box Beams
| Online Contents | 2017
Flexural-torsional stability of thin-walled functionally graded open-section beams
| Online Contents | 2017
Thermoelastic Stresses in Composite Beams with Functionally Graded Layer
| British Library Online Contents | 2005